An allegedly drunk father had his two children in the car when he veered off the road and crashed into an embankment near Byron Bay.

About 4pm (AEST) on Sunday, a 45-year-old man drove his car off Bangalow Road, Byron Bay, and crashed into an embankment before coming to rest in a paddock.

Two children aged 14 and 10 were in the car at the time.

Police said no one was injured.

The man, who returned a subsequent breath analysis of 0.205, has been issued a court attendance notice for high-range PCA and his licence was suspended.

The children were placed into the care of their mother.

Two days earlier in Sydney, a 33-year-old woman was stopped on Victoria Road, Rozelle, and returned an alleged reading of 0.101.

She had a young child in her car at the time and has been issued a court attendance notice for mid-range PCA.

The two incidents have promoted police to warn parents about the dangers of driving drunk when children are in their care.

"Drivers allegedly drink-driving with passengers, including children, in their vehicles are putting themselves and others at risk of serious injury or even death if involved in a crash," said Traffic and Highway Patrol Command's, Superintendent Stuart Smith.